Find the value of - k - if x-1 is a factor of Px-4 x3-x2-3 x-kA- -1B- -3C- -2D- -4

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Standard VIII

Mathematics

Factorisation by Common Factors

Find the valu...

Question

Find the value of ‘k’ if $x - 1$ is a factor of P(x) = 4 $x^{3}$ + $x^{2} - 3 x + k$ .

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Solution

The correct option is B
-2

Since x-1 is the factor of 4 $x^{3}$ + $x^{2}$ – 3x + k, therefore at x = 1,

P(x) = 0

So 4 ${(1)}^{3}$ + ${(1)}^{2}$ – 3(1) + k = 0

i.e, 2 + k=0

and k = -2

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Find the value of ‘k’ if x−1 is a factor of P(x) = 4x3 + x2–3x+k.

The correct option is B -2 Since x-1 is the factor of 4x3 + x2 – 3x + k, therefore at x = 1, P(x) = 0 So 4(1)3 + (1)2 – 3(1) + k = 0 i.e, 2 + k=0 and k = -2

Find the value of ‘k’ if $x - 1$ is a factor of P(x) = 4 $x^{3}$ + $x^{2} - 3 x + k$ .

The correct option is B
-2

Since x-1 is the factor of 4 $x^{3}$ + $x^{2}$ – 3x + k, therefore at x = 1,

P(x) = 0

So 4 ${(1)}^{3}$ + ${(1)}^{2}$ – 3(1) + k = 0

i.e, 2 + k=0

and k = -2